Really important
a prism has 2 congruent hexagonal bases like the one shown. each hexagon is made from 2 congruent isosceles trapezoids.

the volume of the prism is 234 cubic units. what is the height of the prism?

3 units

4 units

6 units

8 units

Answer-

The height of the prism is 6 units

Solution-

As the base of the prism is a hexagon consisting of 2 congruent isosceles trapezoids.

So,

And,

Also,

Putting all the values,

As the volume is given, so

Third option is correct.

Step-by-step explanation:

Since we have given that

Height of trapezium = 3 units

and Length of parallel sides are 5 units ad 4+4=8 units.

So, Area of trapezium is given by

So, we have given that "Volume of prism = 234 cubic units":

Hence, height of prism should be 6 units.

Thus, Third option is correct.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8